Add 21/40 and 98/45, Solve 21/40 + 2 8/45 as a fraction

Add 21/40 and 98/45

1^st number: 21/40, 2^nd number: 2 8/45

21/40 + 98/45 is 973/360.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360

Next, find the equivalent fraction of both fractional numbers with denominator 360
For the 1st fraction, since 40 × 9 = 360,
21/40 = 21 × 9/40 × 9 = 189/360
Likewise, for the 2nd fraction, since 45 × 8 = 360,
98/45 = 98 × 8/45 × 8 = 784/360
Add the two like fractions:
189/360 + 784/360 = 189 + 784/360 = 973/360
So, 21/40 + 98/45 = 973/360
In mixed form: 2253/360

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